The vertices of a triangle are P(–4, 1), Q(–2, –8), and R(8, –1). Name the vertices of the image reflected across the x-axis.

P'(–4, –1), Q'(–2, 8), R' (8, 1)
P'(4, –1), Q'(2, 8), R'(–8, 1)
P'(4, 1), Q'(2, 8), R'(–8, –1)
P'(–4, 1), Q'(–2, –8), R'(8, –1)

Thank You! :) your help is much appreciated

reflecting across the x-axis just reverses the sign of the y-coordinate:

(x,y) --> (x,-y)

so, P(-4,1) --> P'(-4,-1)

that eliminates two of the choices. Can you take it from here?

Thank you! Yes that helps! :D

count to find the value of the colection of coins

i don get it

To find the image of a triangle reflected across the x-axis, we need to flip the y-coordinates of each vertex.

Given the vertices of the original triangle are:
P(–4, 1), Q(–2, –8), and R(8, –1)

To reflect each vertex across the x-axis, we simply change the sign of their y-coordinates.

The reflected vertices will be:
P'(–4, -1), Q'(–2, 8), R'(8, 1)

Therefore, the correct answer is:
P'(–4, -1), Q'(–2, 8), R'(8, 1)